Pseudonormality and a language multiplier theory for constrained optimization

@inproceedings{Ozdaglar2003PseudonormalityAA,
  title={Pseudonormality and a language multiplier theory for constrained optimization},
  author={Asuman E. Ozdaglar},
  year={2003}
}
We consider optimization problems with equality, inequality, and abstract set constraints, and we explore various characteristics of the constraint set that imply the existence of Lagrange multipliers. We prove a generalized version of the Fritz-John theorem, and we introduce new and general conditions that extend and unify the major constraint qualifications. Among these conditions, two new properties, pseudonormality and quasinormality, emerge as central within the taxonomy of interesting… CONTINUE READING